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Finding the Fourth Proportional to 9,924, 14,886.02 and 3,350.22

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Solution

The fourth proportional to 9,924, 14,886.02 and 3,350.22 is: 5,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,886.02 = 3,350.22 : x
  2. Step 2: Convert to fraction form
    9,924/14,886.02 = 3,350.22/x
  3. Step 3: Cross multiply
    9,924x = 14,886.02 × 3,350.22
  4. Step 4: Simplify right side
    9,924x = 49,871,441.92
  5. Step 5: Solve for x
    x = 49,871,441.92/9,924
  6. Step 6: Final answer
    x = 5,025.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.